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← Bihar Board Class 12 PYQ
Integrals
Bihar Board Class 12 · Mathematics · 212 past questions
Topic
Basic indefinite integrals
45
Definite integrals: evaluation
35
Properties of definite integrals
21
Trigonometric simplification and special forms
13
Integration by parts and special formulas
10
Integration by substitution
10
Partial fractions and rational integrals
5
Level
Easy
13
Moderate
15
Tough
0
Year
2026
3
2025
2
2024
4
2023
2
2021
3
2019
0
2018
1
2017
0
2016
2
2015
1
13 of 212 ·
show all
Q4
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
$\int \sin^2\frac{x}{2}\,dx =$
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Q10
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
2024 Set J
2024 Set D
2021 Set J
2021 Set I
$\int \frac{1-\cos 2x}{1+\cos 2x}\,dx =$
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Q17
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
2016
$\int \frac{dx}{x^2+a^2} =$
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Q42
2025
$\int \dfrac{5-3\sin x}{\cos^2 x}\,dx =$
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Q62
2025
Integrate: $\int \frac{dx}{1+\cos x}$
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Q106
2024 Set D
2024 Set J
2018
$\int\sqrt{1+\cos 2x}\,dx=$
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Q122
2024 Set D
2024 Set J
2021 Set J
2021 Set I
$\int \cot^2 x\,dx =$
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Q126
2024 Set D
2024 Set J
$\int \tan^2 x\,dx=$
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Q133
2023
$\int \sin^3\theta \; \text{cosec}^2\theta \, d\theta =$
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Q162
2023 Set E
$\int\sin^3\theta\,\operatorname{cosec}^2\theta\,d\theta=$
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Q169
2021 Set J
2021 Set I
$\int \sin x\cdot\cos x\,dx=$
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Q206
2016
$\int \frac{-1}{1+x^2}dx =$
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Q209
2015
$\int\dfrac{dx}{1+\cos x}=$
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